In the figure below, how many more smiley faces must be added to make the ratio of the number of smiley faces to the total number of shapes become 2 : 3?

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Worked solution
14
1. Find the new ratio of smiley faces to hearts
The new ratio of smiley faces to total shapes is .
Therefore, the new ratio of smiley faces to hearts is .
2. Calculate the required number of smiley faces
The number of hearts remains unchanged at .
Required number of smiley faces .
3. Find the number of smiley faces to add
Current number of smiley faces .
Number of smiley faces to add .
Answer
(option 3)
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